Vladimir Drinfeld
Vladimir Drinfeld | |
|---|---|
| Born | February 14, 1954 Kharkiv, Ukrainian SSR, Soviet Union (now Kharkiv, Ukraine) |
| Alma mater | Moscow State University |
| Known for | Drinfeld center Drinfeld double Drinfeld level structure Drinfeld module Drinfeld reciprocity Drinfeld upper half plane Drinfeld twist Drinfeld–Sokolov reduction Drinfeld–Sokolov–Wilson equation ADHM construction Manin–Drinfeld theorem Yetter–Drinfeld category Chiral algebra Chiral homology Quantum groups Geometric Langlands correspondence Grothendieck–Teichmüller group Lie-* algebra Opers Quantum affine algebra Quantized enveloping algebra Quasi-bialgebra Quasi-triangular quasi-Hopf algebra Ruziewicz problem Tate modules |
| Awards | Fields Medal (1990) Wolf Prize (2018) Shaw Prize (2023) |
| Scientific career | |
| Fields | Mathematics |
| Institutions | University of Chicago |
Doctoral advisor | Yuri Manin |
Vladimir Gershonovich Drinfeld (Ukrainian: Володи́мир Ге́ршонович Дрінфельд; born February 14, 1954), surname also romanized as Drinfel'd, is a mathematician from Ukraine, who immigrated to the US and works at the University of Chicago.
Drinfeld's work connected algebraic geometry over finite fields with number theory, especially the theory of automorphic forms, through the notions of elliptic module and the theory of the geometric Langlands correspondence. Drinfeld introduced the notion of a quantum group (independently discovered by Michio Jimbo at the same time) and made important contributions to mathematical physics, including the ADHM construction of instantons, algebraic formalism of the quantum inverse scattering method, and the Drinfeld–Sokolov reduction in the theory of solitons.
He was awarded the Fields Medal in 1990. In 2016, he was elected to the National Academy of Sciences. In 2018 he received the Wolf Prize in Mathematics. In 2023 he was awarded the Shaw Prize in Mathematical Sciences.